Calculating T1 in an Elastic Collision with Equal Masses

[SHawking01]

Homework Statement

A particle of rest mass m₀ collides elastically with a stationary particle of equal mass and scatters at angle θ. The incident particle has kinetic energy T₀ before the collision and T₁ after the collision. (a) Show that T₁² (2m₀c ² + T₀) ² = p₀² p₁² c⁴ cos² θ. (b) Using the results of part (a) and problem 6, find T₁ as a function of θ.

Homework Equations

The Attempt at a Solution

p₀+p₁=p₀'+p₁'

 

[PeroK]

Can you make a better attempt at a solution?

 

[SHawking01]

What should I do after this? Sorry.

 

[PeroK]

You need to make an effort to solve it yourself and see how far you get.

 

[SHawking01]

Okay, well I'll come back in a couple of hours or so. Thank you.